Abstract
The Marxian theory of the tendentially falling rate of profit is shown to be consistent with a competitive equilibrium scenario for labor markets in which wages are determined by sequential bargaining within a stationary matching process. The central result establishes that if trade is possible, there exists a set of individually rational capital‐using, labor‐saving technical innovations which lower the equilibrium rate of profit if adopted universally. The model yields as an important special case wage conditions under which the universal adoption of any such innovation reduces the equilibrium rate of profit.